Majumdar-Papapetrou-type solutions in the sigma-model and intersecting p-branes

The block-orthogonal generalization of the Majumdar-Papapetrou-type solutio ns for the sigma-model studied earlier are obtained and corresponding solut ions with p-branes are considered. The existence of solutions and the numbe r of independent harmonic functions is defined by the matrix of scalar prod ucts of vectors LIS, governing the a-model target space metric. For orthogo nal U-s, when the target space is a symmetric homogeneous space, the soluti ons reduce to the previous ones. Two special classes of obtained solutions with U-s related to finite-dimensional Lie algebras and hyperbolic (Kac-Moo dy) algebras are singled out and investigated. The affine Cartan matrices d o not arise in the scheme under consideration. Some examples of solutions a nd intersection rules for D = 11 supergravity, related D = 12 theory, and e xtending them B-D-models, are considered. For special multicentre solutions criteria for the existence of horizon and curvature singularity are found.